All Answers 358523 Answers

21 cause it is

40x - 80 = 160

Add 80 to both sides

40x = 240    divide both sides by 40

x = 6

Yep.....it's just a 3-4-5 Pythagorean "Triple" triangle "scaled" up by a factor of 100

It's correct....!!!

Thank you for that is that the correct answer for the problem?

I do not know answer.I doubt the problem is incorrect.I guess so...Thanks

We can use the Pythagorean Theorem for this.....the hypotenuse = 500 and one leg = 400

So.....the height - h - is given by

h = √[500^2 - 400^2 ] = 300 ft

If  "C" is the cost per funnel.....then.....the number we make doesn't matter.....each one costs "C" dollars to make......!!!

The side must be 240/5 = 48km

We have a "formula" to find the area given the side length....I won't derive it for you, but it is given by:

A = 1.7204 s^2   where s is the side length....so we have

A = 1.7204 (48)^2 = 3963.8 km ^2

I'll try this one, too

Ada could choose any of 9 gifts and the other 9 people have 9! ways to choose theirs. Note that some of these include the possibiiity that Billy does draw his own gift.

After she draws hers, we want to look at the total scenarios that have Billy "stuck" with his own gift.

In this scenario, Ada draws 8 gifts (since she doesn't draw her own, nor Billy's)....and the other 8 people have 8! ways of choosing amongst the remaining 8 gifts. Notice that some of these include the possibility that they actually draw their own gifts, but that's not a stated consideration.

So  ... P[ Billy draws his own gift l Ada doesn't draw her gift ] = 

[8 * 8! ] /  [9 * 9!] = (8/9)(1/9) = 8/91  ..... the same as found by Melody....

The answer to that my friend would be 3

3

the answer is 3!

There is a calc on the home page.

Do you know how to enter your calculation?

@@ End of Day Wrap   Tues 17/3/15     Sydney, Australia Time   11:15 pm     ♪ ♫

Hi all,

Wed 18/3/15

Huit your welcome

Thanks Chris, I forget about that quite often.

Chris is saying that      $$sin\theta = sin(180-\theta)$$

So C could be obtuse or acute and you need to consider this when using the sine rule.

Sometimes there are 2 answers.

The acute angle here is    about 44 degrees.

the obtuse equivalent is  about  180-44=136 degrees.

We know hat angle A = 80 degrees 

80+136>180   so there is no way this triangle can have an angle of 136degrees because the angle sum of any triangle has to be equal to 180 degrees.  (the sum of any 2 angles must be less than 180 degrees)

so

C=44 degrees to the nearest degree.

In a party,each of participants,Ada,Billy and 8 of their friends brings along a present for exchange.Each participant will draw a present randomly without displacement.

1)Given that Ada does ont get her own present,find the probability that Billy will get his own present.

I'll give it a shot.  LOL  

There are 10 people

the first person has 1 of 10 possible gifts.

the second person has 1 of 9 possible gifts

In total there are 10! possible combinations.

BUT

I might let Ada go first then Ada will have only 9 not ten gifts to choose from so the number of possibilities will be     9*9!

Now how  many ways can billy get his own present.

I'm going to let billy go first and Ada go second

there is only one way that Billy can get his own gift

then there are 8 ways that Ada can get somone elses

etc

so  maybe that will be      1*8*8!

So maybe 

P(Billy gets his own given that Ada does not get her own) =      $$\frac{8*8!}{9*9!}=\frac{8*1}{9*9}=\frac{8}{91}$$

------------------------------

I hope that this is not total nonesence because that could be just a tad embarassing.   LOL.

z/3 = z - 2    multiply both sides by 3

z= 3(z - 2)   simplify

z = 3z - 6     add 6 to both sides and subtract z from both sides

6 = 2z          divide both sides by 2

3 = z

for starters, you need an equal sign.   :/

We need to be careful here... we have a SSA situation.....using the Law of Sines we have

sinA / 10  = sin C / 7

7*sin 80 / 10 = sin C

sin^-1( 7* sin 80 / 10)  = about 43.6°

And angle B = (180 - 80 - 43.8) = 56.4°

We need to check to see if B could be  the supplemental to 56.4°

But. this is impossible since, if A is 80°, the angle supplemental to 56.4° would be 123.6° and these two angles added together would be > 180°

So....we only have one triangle.....

Any number will be divisable by 4 if the last 2 digits are divisable by 4.

so 230 will be divisable by 4 if 30 is exactly divisable by 4.

If 30 is not divisable by 4 then 230 will not be divisable by 4 either.    

You might get different answers.

Show us your calculation and we will find where your mistake is.